A projectile is launched with an initial speed of 40 m s - 1 at an angle 30 ° above the ground. The projectile lands on a hillside 2 . 0 s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10 m s - 2 )

Question

A projectile is launched with an initial speed of 40 m s - 1 at an angle 30 ° above the ground. The projectile lands on a hillside 2 . 0 s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10 m s - 2 ), 20 3 m, 30 2 m, 40 m, 20 13 m

MARKS App · Accepted Answer

Horizontal displacement covered, x = 40 cos 30 ° × 2 = 40 3 m Vertical displacement covered, y = 40 sin 30 ° × 2 + 1 2 - 10 × 2 2 = 40 - 20 = 20 m Hence, required displacement will be, x 2 + y 2 = 20 13 m

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